Vector Meson Mass Corrections at O(a^2) in PQChPT with Wilson and Ginsparg-Wilson quarks

Abstract

We derive the mixed as well as unmixed lattice heavy meson chiral Lagrangian up to order O(a^2), with Wilson and Ginsparg-Wilson fermions. We consider two flavor partially quenched QCD and calculate vector meson mass corrections up to order O(a^2), including the corrections associated with the violation of rotational O(4) symmetry down to the hypercubic group. Our calculations also include the one-loop, phenomenological contribution from the ρ-> ππdecay channel. The final result is a chiral-continuum extrapolation formula with model dependent coefficients from which one can recover the physical ρmeson mass from the large amount of current lattice data. As a verification of our result, the chiral-continuum extrapolation formula is compared with that used in numerical simulations.

11 pages, REVTeX, minor revision in text

References in corpus (1)

• Chiral and Continuum Extrapolation of Partially-Quenched Lattice Results

Cited by in corpus (4)

• Unified chiral analysis of the vector meson spectrum from lattice QCD
• Chiral behavior of vector meson self energies
• Baryon chiral perturbation theory with Wilson fermions up to $\mathcal{O}(a^2)$ and discretization effects of latest $n_f=2+1$ LQCD octet baryon masses
• Vector meson masses in 2+1 flavor Wilson Chiral Perturbation Theory